Information criteria such as those discussed in Section REF ,
have frequently been adopted for final model selection
in combination with the methods belonging to the local testing category.
[1]} propose to minimise the strengthened SC,
defined in (REF ) with the penalty function
\(p_n(\mathcal {A}) = \log ^{1+\epsilon }(n) \cdot \vert \mathcal {A} \vert \)  for some small \(\epsilon > 0\) ,
along a solution path
\(\lbrace k_1\rbrace  \subset \lbrace k_1, k_2\rbrace  \subset \ldots \subset \lbrace k_1, \ldots , k_N\rbrace  \subset \mathcal {I}_1\) 
returned by WBS with some pre-determined \(N > q_n\) ,
whereby the subset that minimises the criterion is chosen as the final model.
A similar approach is also taken by
[2]}, [3]}, [4]}.
